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Finding the Fourth Proportional to 129.06, 194.40 and 127.85

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Solution

The fourth proportional to 129.06, 194.40 and 127.85 is: 192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.06 : 194.40 = 127.85 : x
  2. Step 2: Convert to fraction form
    129.06/194.40 = 127.85/x
  3. Step 3: Cross multiply
    129.06x = 194.40 × 127.85
  4. Step 4: Simplify right side
    129.06x = 24,853.07
  5. Step 5: Solve for x
    x = 24,853.07/129.06
  6. Step 6: Final answer
    x = 192.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.